SAN ANTONIO — DeAndre Kane drove for the game-winning layup with 1.6 seconds left and No. 3 seed Iowa State beat North Carolina 85-83 on Sunday, advancing to the Sweet 16 for the first time since 2000.

The Cyclones (28-7) head to Madison Square Garden next week to face No. 7 seed Connecticut in the East Regional semifinals.

The Tar Heels (24-10) are gone in the NCAA tournament’s opening weekend for the first time in consecutive seasons under coach Roy Williams.

North Carolina’s Nate Britt raced the ball up court after Kane’s basket, but time expired before he could reach midcourt and call a timeout. Officials huddled for several minutes reviewing clock replays before ruling the game was over.

Right away Williams — who collapsed his hands on his knees as Britt dribbled toward him and the buzzer sounded — shook Iowa State coach Fred Hoiberg’s hand as North Carolina began absorbing a last-second heartbreaker.

Kane finished with 24 points and 10 rebounds. It was just the kind of big game the Cyclones needed without forward Georges Niang, who broke his foot in Friday’s win against North Carolina Central.

The 6-foot-7 sophomore sat on the bench wearing a bulky boot while the Cyclones tried their best without their third-leading scorer and tallest starter.

Marcus Paige led North Carolina with 19 points and Kennedy Meeks had 15 points and 13 rebounds.

But North Carolina played nearly the entire game without forward Brice Johnson, who sprained ankle in the opening minutes.

The team said X-rays were negative, but the Tar Heels’ third-leading scorer never returned.

Big 12 player of the year Melvin Ejam had 19 points for the Cyclones and Monte Morris added 13.